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Finding the Third Proportional to 93,748 and 145,198

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Solution

The third proportional to 93,748 and 145,198 is: 224,884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,748 : 145,198 = 145,198 : x
  2. Step 2: Convert to fraction form
    93,748/145,198 = 145,198/x
  3. Step 3: Cross multiply
    93,748x = 145,198 × 145,198
  4. Step 4: Simplify right side
    93,748x = 21,082,459,204
  5. Step 5: Solve for x
    x = 21,082,459,204/93,748
  6. Step 6: Final answer
    x = 224,884.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.